Firefighters work a $24-$hour shift at Station $1$ in Edmond. Some start at noon each day, while others begin their shift at midnight. A minimum number of firefighters should be on duty for each of the half days as shown in the following table.

What minimum number of firefighters should be scheduled over the entire week?

a$.37$

b$.40$

c$.34$

d$.43$

Can you please check my work? I chose C$.34.$